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8000812440 = 2332567333023
BaseRepresentation
bin1110111001110001…
…01011010110011000
3202122120221101100200
413130320223112120
5112341201444230
63401525102200
7402160532535
oct73470532630
922576841320
108000812440
113436282895
121673557960
139a6768b5a
1455c839d8c
1531c60b160
hex1dce2b598

8000812440 has 96 divisors (see below), whose sum is σ = 26042065920. Its totient is φ = 2130315264.

The previous prime is 8000812439. The next prime is 8000812471. The reversal of 8000812440 is 442180008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225769 + ... + 258791.

It is an arithmetic number, because the mean of its divisors is an integer number (271271520).

Almost surely, 28000812440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000812440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13021032960).

8000812440 is an abundant number, since it is smaller than the sum of its proper divisors (18041253480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8000812440 is a wasteful number, since it uses less digits than its factorization.

8000812440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33713 (or 33706 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8000812440 is about 89447.2606623590. The cubic root of 8000812440 is about 2000.0677010416.

Adding to 8000812440 its reverse (442180008), we get a palindrome (8442992448).

The spelling of 8000812440 in words is "eight billion, eight hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 673 1346 2019 2692 3365 4038 5384 6057 6730 8076 10095 12114 13460 16152 20190 24228 26920 30285 33023 40380 48456 60570 66046 80760 99069 121140 132092 165115 198138 242280 264184 297207 330230 396276 495345 594414 660460 792552 990690 1188828 1320920 1486035 1981380 2377656 2972070 3962760 5944140 11888280 22224479 44448958 66673437 88897916 111122395 133346874 177795832 200020311 222244790 266693748 333367185 400040622 444489580 533387496 666734370 800081244 888979160 1000101555 1333468740 1600162488 2000203110 2666937480 4000406220 8000812440